Search a number
-
+
49171117132944 = 2432472124332
BaseRepresentation
bin10110010111000100010101…
…11110000100110010010000
320110002201020200210212002100
423023202022332010302100
522421104421441223234
6252324522132520400
713233332056331442
oct1313421276046220
9213081220725070
1049171117132944
1114738398807934
125621837780100
132158a7c980631
14c1dc75356492
155a40c0d61399
hex2cb88af84c90

49171117132944 has 135 divisors (see below), whose sum is σ = 140612329995033. Its totient is φ = 16040350803456.

The previous prime is 49171117132903. The next prime is 49171117132981. The reversal of 49171117132944 is 44923171117194.

It is a happy number.

The square root of 49171117132944 is 7012212.

It is a perfect power (a square), and thus also a powerful number.

49171117132944 is a `hidden beast` number, since 49 + 1 + 71 + 1 + 171 + 329 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6427137632400 + 42743979500544 = 2535180^2 + 6537888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3954881352 + ... + 3954893784.

Almost surely, 249171117132944 is an apocalyptic number.

49171117132944 is the 7012212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49171117132944

49171117132944 is an abundant number, since it is smaller than the sum of its proper divisors (91441212862089).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49171117132944 is an frugal number, since it uses more digits than its factorization.

49171117132944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24974 (or 12485 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 49171117132944 in words is "forty-nine trillion, one hundred seventy-one billion, one hundred seventeen million, one hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2209 2256 3384 4418 6627 6768 8836 12433 13254 17672 19881 24866 26508 35344 37299 39762 49732 53016 74598 79524 99464 106032 111897 149196 159048 198928 223794 298392 318096 447588 584351 596784 895176 1168702 1753053 1790352 2337404 3506106 4674808 5259159 7012212 9349616 10518318 14024424 21036636 27464497 28048848 42073272 54928994 82393491 84146544 109857988 154579489 164786982 219715976 247180473 309158978 329573964 439431952 463738467 494360946 618317956 659147928 927476934 988721892 1236635912 1318295856 1391215401 1854953868 1977443784 2473271824 2782430802 3709907736 3954887568 5564861604 7265235983 7419815472 11129723208 14530471966 21795707949 22259446416 29060943932 43591415898 58121887864 65387123847 87182831796 116243775728 130774247694 174365663592 261548495388 341466091201 348731327184 523096990776 682932182402 1024398273603 1046193981552 1365864364804 2048796547206 2731728729608 3073194820809 4097593094412 5463457459216 6146389641618 8195186188824 12292779283236 16390372377648 24585558566472 49171117132944